3(x+8)+4(2-x)=30

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Solution for 3(x+8)+4(2-x)=30 equation: 


Simplifying
3(x + 8) + 4(2 + -1x) = 30

Reorder the terms:
3(8 + x) + 4(2 + -1x) = 30
(8 * 3 + x * 3) + 4(2 + -1x) = 30
(24 + 3x) + 4(2 + -1x) = 30
24 + 3x + (2 * 4 + -1x * 4) = 30
24 + 3x + (8 + -4x) = 30

Reorder the terms:
24 + 8 + 3x + -4x = 30

Combine like terms: 24 + 8 = 32
32 + 3x + -4x = 30

Combine like terms: 3x + -4x = -1x
32 + -1x = 30

Solving
32 + -1x = 30

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-32' to each side of the equation.
32 + -32 + -1x = 30 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = 30 + -32
-1x = 30 + -32

Combine like terms: 30 + -32 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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